We suspect that you're also given a line on the graph. If so, then the initial speed
is the slope of the line at the initial position. To get the real slope of the line, you
need to know the scales of the axes. If the scales aren't the same, then the real
slope of the line isn't what it looks like, and has to be calculated by measuring its
progress along both axes just after the initial position.
First you have to resolve all forces into vertical and horizontal. If it on a slope take the reaction force as vertical and the slope as horizontal. Then equate the opposite forces, for example the friction and the driving force, and use maths to figure out the resultant.
You can do this by using a two coordinate designation of that position: horizontal and vertical.
Vertical and horizontal
If one assumes air resistance to be negligible, then: final velocity = sqrt( g * 2 * h ) where g is 9.8 metres per second per second. The quantities v and m do not matter, because gravitational acceleration does not depend on mass (all objects fall at the same rate) and because the horizontal velocity is independent of the vertical velocity.
vertical
No, horizontal velocity and vertical velocity are independent and have no effect on each other.
This is not always true. High velocity pumps can be found in horizontal configurations too. It all depends on the application (sometimes the manufacturer) whether it will be a horizontal of vertical pump.
9.8
If the initial velocity is v, at an angle x to the horizontal, then the vertical component is v*sin(x) and the horizontal component is v*cos(x).
First you have to resolve all forces into vertical and horizontal. If it on a slope take the reaction force as vertical and the slope as horizontal. Then equate the opposite forces, for example the friction and the driving force, and use maths to figure out the resultant.
13
For practical purposes, it means that you can calculate them independent of one another.
The horizontal component of velocity for a projectile is not affected by the vertical component at all. Horizontal component is measured as xcos(theta) Vertical component is measured as xsin(theta) Whereas theta is the angle, and x is the magnitude, or initial speed.
Vertical is defined as the direction or position that is perpendicular to the plane. Horizontal is defined as to be parallel to the horizon.
horizontal velocity
There are two forces on the bomb when it is dropped; horizontal, and vertical. The vertical force is gravity, and the horizontal force is the velocity of the plane when the bomb is dropped. In order to determine how far away the bomb will drop from the initial point of release, it is necessary to know the height that the plane is at, and the velocity of the plane, which is also the initial horizontal velocity of the bomb (it is constant, neglecting air resistence.)
Note - the vertical velocity is zero ... there may be considerable horizontal velocity. And vertical velocity is zero because the object is going neither up nor down.